--- _id: '965' abstract: - lang: eng text: We give many examples of applying Bogoliubov's forest formula to iterative solutions of various nonlinear equations. The same formula describes an extremely wide class of objects, from an ordinary quadratic equation to renormalization in quantum field theory. acknowledgement: |- This work is supported in part by the Dynasty Foundation (M. N. S.), the Russian Foundation for Basic Research (Grant No s. 07-02-00878 and 07-02-00645), a joint grant (Grant No. 06-01-92059-CE), the NWO (Project No. 047.011.2004.026), INTAS (Grant No. 05-1000008-7865), the Program for Supporting Leading Scientific School s (Grant No. NSh-8004.2006.2), and also by a project (Project No. ANR-05-BLAN-0029-01, A. Yu. M.). author: - first_name: Alexei full_name: Morozov, Alexei Y last_name: Morozov - first_name: Maksym full_name: Maksym Serbyn id: 47809E7E-F248-11E8-B48F-1D18A9856A87 last_name: Serbyn orcid: 0000-0002-2399-5827 citation: ama: Morozov A, Serbyn M. Nonlinear algebra and Bogoliubov’s recursion. Theoretical and Mathematical Physics. 2008;154(2):270-293. doi:10.1007/s11232-008-0026-7 apa: Morozov, A., & Serbyn, M. (2008). Nonlinear algebra and Bogoliubov’s recursion. Theoretical and Mathematical Physics. Elsevier. https://doi.org/10.1007/s11232-008-0026-7 chicago: Morozov, Alexei, and Maksym Serbyn. “Nonlinear Algebra and Bogoliubov’s Recursion.” Theoretical and Mathematical Physics. Elsevier, 2008. https://doi.org/10.1007/s11232-008-0026-7. ieee: A. Morozov and M. Serbyn, “Nonlinear algebra and Bogoliubov’s recursion,” Theoretical and Mathematical Physics, vol. 154, no. 2. Elsevier, pp. 270–293, 2008. ista: Morozov A, Serbyn M. 2008. Nonlinear algebra and Bogoliubov’s recursion. Theoretical and Mathematical Physics. 154(2), 270–293. mla: Morozov, Alexei, and Maksym Serbyn. “Nonlinear Algebra and Bogoliubov’s Recursion.” Theoretical and Mathematical Physics, vol. 154, no. 2, Elsevier, 2008, pp. 270–93, doi:10.1007/s11232-008-0026-7. short: A. Morozov, M. Serbyn, Theoretical and Mathematical Physics 154 (2008) 270–293. date_created: 2018-12-11T11:49:26Z date_published: 2008-01-01T00:00:00Z date_updated: 2021-01-12T08:22:17Z day: '01' doi: 10.1007/s11232-008-0026-7 extern: 1 intvolume: ' 154' issue: '2' main_file_link: - open_access: '1' url: https://arxiv.org/abs/hep-th/0703258 month: '01' oa: 1 page: 270 - 293 publication: Theoretical and Mathematical Physics publication_status: published publisher: Elsevier publist_id: '6437' quality_controlled: 0 status: public title: Nonlinear algebra and Bogoliubov's recursion type: journal_article volume: 154 year: '2008' ...